Aviso: para depositar documentos, por favor, inicia sesión e identifícate con tu cuenta de correo institucional de la UCM con el botón MI CUENTA UCM. No emplees la opción AUTENTICACIÓN CON CONTRASEÑA
 

Chirally symmetric quark description of low energy pi-pi scattering

Simple item page
dc.contributor.authorLlanes Estrada, Felipe José
dc.contributor.authorBicudo, Pedro
dc.contributor.authorCotanch, Stephen
dc.contributor.authorMaris, Pieter
dc.contributor.authorSzczepaniak, Adam
dc.date.accessioned2023-06-20T18:52:30Z
dc.date.available2023-06-20T18:52:30Z
dc.date.issued2002-04-01
dc.description© 2002 The American Physical Society. P.B. acknowledges Gonçalo Marques’ assistance and enlightening discussions with Gastao Krein, George Rupp and Mike Scadron. This work is supported in part by grants DOE DE-FG02-97ER41048 and NSF INT-9807009.
dc.description.abstractWeinberg’s theorem for π-π scattering, including the Adler zero at threshold in the chiral limit, is analyticall proved for microscopic quark models that preserve chiral symmetry. Implementing Ward-Takahashi identities, the isospin 0 and 2 scattering lengths are derived in exact agreement with Weinberg’s low energy results. Our proof applies to alternative quark formulations including the Hamiltonian and Euclidean space Dyson-Schwinger approaches. Finally, the threshold π-π scattering amplitudes are calculated using the Dyson- Schwinger equations in the rainbow-ladder truncation, confirming the formal derivation.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipDOE
dc.description.sponsorshipNSF
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/23467
dc.identifier.doi10.1103/PhysRevD.65.076008
dc.identifier.issn0556-2821
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevD.65.076008
dc.identifier.relatedurlhttp://prd.aps.org/abstract
dc.identifier.urihttps://hdl.handle.net/20.500.14352/58828
dc.issue.number7
dc.journal.titlePhysical Review D
dc.language.isoeng
dc.publisherAmerican Physical Soc
dc.relation.projectIDDOE DE-FG02-97ER41048
dc.relation.projectIDINT-9807009.
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.keywordP-3(0) Condensed Vacuum
dc.subject.keywordBethe-Salpeter
dc.subject.keywordModel
dc.subject.keywordMeson
dc.subject.keywordVector
dc.subject.keywordEquations
dc.subject.keywordMasses
dc.subject.ucmFísica (Física)
dc.subject.unesco22 Física
dc.titleChirally symmetric quark description of low energy pi-pi scattering
dc.typejournal article
dc.volume.number65
dcterms.references[1] S. Weinberg, Phys. Rev. Lett. 17, 616 (1966). [2] V. Bernard, U. G. Meissner, A. Blin, and B. Hiller, Phys. Lett. B 253, 443 (199); V. Bernard, A. H. Blin, B. Hiller, Y. P. Ivanov, A. A. Osipov, and U. Meissner, Ann. Phys. (N.Y.) 249, 499 (1996). [3] C. D. Roberts, R. T. Cahill, M. E. Sevior, and N. Iannella, Phys. Rev. D 49, 125 (1994). [4] D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964), Chap. 9.7. [5] P. Bicudo and J. Ribeiro, Phys. Rev. D 42, 1611 (1990). [6] P. Bicudo, G. Krein, J. Ribeiro, and J. Villate, Phys. Rev. D 45, 1673 (1992). [7] F. J. Llanes Estrada and S. R. Cotanch, Phys. Rev. Lett. 84, 1102 (2000). [8] F. J. Llanes Estrada and S. R. Cotanch, Nucl. Phys. A697, 303 (2002). [9] A. Le Yaouanc, L. Oliver, O. Pe´ne, and J.-C. Raynal, Phys. Rev. D 31, 137 (1985); P. Bicudo and J. Ribeiro, ibid. 42, 1625 (1990). [10] P. Bicudo and J. Ribeiro, Phys. Rev. D 42, 1635 (1990). [11] P. Bicudo, Phys. Rev. C 60, 035209 (1999). [12] J. Ribeiro, in Quark Confinement and the Hadron Spectrum IV, Proceedings of the conference, Vienna, Austria, 2000 (World Scientific, Singapore, in press). [13] P. Maris, C. D. Roberts, and P. C. Tandy, Phys. Lett. B 420, 267 (1998). [14] P. Maris and C. D. Roberts, Phys. Rev. C 56, 3369 (1997). [15] C. D. Roberts and A. G. Williams, Prog. Part. Nucl. Phys. 33, 477 (1994); R. Alkofer and L. von Smekal, Phys. Rep. 353, 281 (2001). [16] R. Delbourgo and M. D. Scadron, J. Phys. G 5, 1621 (1979). [17] P. Maris and P. C. Tandy, Phys. Rev. C 60, 055214 (1999). [18] P. Maris and P. C. Tandy, Phys. Rev. C 61, 045202 (2000); 62, 055204 (2000). [19] See, e.g., P. Maris, in the proceedings of MENU 2001, Washington D.C., 2001, nucl-th/0112022, and references therein. [20] G. Colangelo, J. Gasser, and H. Leutwyler, Phys. Lett. B 488, 261 (2000).
dspace.entity.typePublication
relation.isAuthorOfPublication6290fe55-04e6-4532-91e6-1df735bdbdca
relation.isAuthorOfPublication.latestForDiscovery6290fe55-04e6-4532-91e6-1df735bdbdca

Download

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
Llanes-Estrada_FJ67libre.pdf
Size:
108.7 KB
Format:
Adobe Portable Document Format
downoload Download

Collections

Artículos